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Finding the Fourth Proportional to 2,594.55, 3,892.62 and 1,361.82

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Solution

The fourth proportional to 2,594.55, 3,892.62 and 1,361.82 is: 2,043.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.55 : 3,892.62 = 1,361.82 : x
  2. Step 2: Convert to fraction form
    2,594.55/3,892.62 = 1,361.82/x
  3. Step 3: Cross multiply
    2,594.55x = 3,892.62 × 1,361.82
  4. Step 4: Simplify right side
    2,594.55x = 5,301,047.77
  5. Step 5: Solve for x
    x = 5,301,047.77/2,594.55
  6. Step 6: Final answer
    x = 2,043.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.